document.write( "Question 1143571: Lester is older than John by 7 years. 15 years back John's age was 3/4 of Lester's age. Find their present ages. \n" ); document.write( "

Algebra.Com's Answer #764407 by mathmadeeasy(2) $\"\"$ $\"About$

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Let L = Lester's present age
\n" ); document.write( " J = John's present age\r
\n" ); document.write( "\n" ); document.write( "Given:
\n" ); document.write( "1. Lester is older than John by 7 years: L = J + 7
\n" ); document.write( "2. 15 years back John's age was 3/4 of Lester's (present) age: J - 15 = 3/4 L\r
\n" ); document.write( "\n" ); document.write( "Solution:
\n" ); document.write( "I. L = J + 7
\n" ); document.write( " J - 15 = 3/4L\r
\n" ); document.write( "\n" ); document.write( " L = J + 7
\n" ); document.write( " J = 3/4L + 15\r
\n" ); document.write( "\n" ); document.write( "II. L = 3/4L + 15 + 7
\n" ); document.write( " L = 3/4L + 22
\n" ); document.write( " L - 3/4L = 22
\n" ); document.write( " 4/4L - 3/4L = 22
\n" ); document.write( " 1/4L = 22
\n" ); document.write( " 4*(1/4)L = 22*4
\n" ); document.write( " L = 88\r
\n" ); document.write( "\n" ); document.write( "Testing the given:
\n" ); document.write( "1. L = J + 7
\n" ); document.write( " 88 = J + 7
\n" ); document.write( " 88 - 7 = J
\n" ); document.write( " J = 81\r
\n" ); document.write( "\n" ); document.write( "2. J - 15 = 3/4L
\n" ); document.write( " 81 - 15 = 3/4(88)
\n" ); document.write( " 66 = 66 \r
\n" ); document.write( "\n" ); document.write( "Fifteen years back, John's age (was 66) was 3/4 off Lester's (present) age of 88.\r
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\n" ); document.write( "\n" ); document.write( "Answer:
\n" ); document.write( "Lester's present age is 88 while John's present age is 81.\r
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